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Orbit dynamics for unstable linear motion

Name: Orbit dynamics for unstable linear motion
Creator: Parzen, G.
Keywords: 43 Particle Accelerators, Accelerator Physics (physics.acc-ph), Orbit Stability, Beam Dynamics, Differential Equations Beta Function, Orbits, FOS: Physical sciences, Particle Kinematics, 530, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Report , Preprint , Other literature type 29 Mar 1996Embargo end date: 01 Jan 1996 United States Publisher:IEEEJournal:Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167), volume 2, pages 1,421-1,423

Authors: Parzen, G.;

doi: 10.1109/pac.1997.750713 , 10.2172/1119393 , 10.2172/242699 , 10.48550/arxiv.acc-phys/9605002

arXiv: http://arxiv.org/abs/acc-phys/9605002

Orbit dynamics for unstable linear motion

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Abstract

A treatment is given of the orbit dynamics for linear unstable motion that allows for the zeros in the beta function and makes no assumptions about the realness of the betatron and phase functions. The phase shift per turn is shown to be related to the beta function and the number of zeros the beta function goes through per turn. The solutions of the equations of motion are found in terms of the beta function.

17 pages

Country

United States

Related Organizations

University of North Texas
United States
Brookhaven National Laboratory
United States

Keywords

43 Particle Accelerators, Accelerator Physics (physics.acc-ph), Orbit Stability, Beam Dynamics, Differential Equations Beta Function, Orbits, FOS: Physical sciences, Particle Kinematics, 530, Analytical Solution, Trajectories, Functions, Beta Function, Phase Shift, Physics - Accelerator Physics, Betatron Oscillations, Equations Of Motion, Phase Oscillations, Accelerators

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